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Finding the Third Proportional to 1,230,216 and 2,662,608

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Solution

The third proportional to 1,230,216 and 2,662,608 is: 5,762,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,216 : 2,662,608 = 2,662,608 : x
  2. Step 2: Convert to fraction form
    1,230,216/2,662,608 = 2,662,608/x
  3. Step 3: Cross multiply
    1,230,216x = 2,662,608 × 2,662,608
  4. Step 4: Simplify right side
    1,230,216x = 7,089,481,361,664
  5. Step 5: Solve for x
    x = 7,089,481,361,664/1,230,216
  6. Step 6: Final answer
    x = 5,762,793.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.